THE MODIFIED QUANTUM WIGNER SYSTEM IN WEIGHTED -SPACE

DOI10.1017/S0004972716000666zbMath1366.35151OpenAlexW2530324391MaRDI QIDQ2986571

Han Yang, Bin Li

Publication date: 16 May 2017

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972716000666

zbMATH Keywords

global mild solutionintial boundary value problemmodified Wigner-Poisson equationmodified Wigner-Poisson-Fokker-Planck equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45) PDEs in connection with quantum mechanics (35Q40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Linear accretive operators, dissipative operators, etc. (47B44) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (7)

Existence and asymptotical behavior of positive solutions for the Schrödinger-Poisson system with double quasi-linear terms ⋮ Existence and asymptotic behaviour of solutions for a quasilinear Schrödinger-Poisson system in \(\mathbb{R}^3\) ⋮ Multiple solutions for a class of quasilinear Schrödinger-Poisson system in \(\mathbb{R}^3\) with critical nonlinearity and zero mass ⋮ Quasilinear Schrödinger–Poisson system with exponential and logarithmic nonlinearities ⋮ Existence and asymptotic behaviour of solutions for a quasi-linear Schrödinger-Poisson system with a critical nonlinearity ⋮ Solutions of a quasilinear Schrödinger-Poisson system with linearly bounded nonlinearities ⋮ Quasi-linear Schrödinger-Poisson system under an exponential critical nonlinearity: existence and asymptotic behaviour of solutions

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